Question

Compute the wavelength in air of ultrasound with a frequency of 60 kHz if the speed of sound is 344 m/s,

Answer 1

5.73 mm

Step-by-step explanation

Given:

• The frequency of the wave, f = 60 kHz = 60,000 Hz

,

• The speed of the wave (sound), v = 344 m/s

Find:

• The wavelength, λ

The wavelength is given by,

`v=f\cdot\lambda`

Solving for λ,

`\lambda=(v)/(f)`

Substitute the known values and solve,

`\lambda=\frac{344m/s}{60,000\text{ }cycles/s}\approx5.73\cdot10^(-3)m=5.73mm`

Hence, the wavelength is 5.73 mm, rounded to the nearest hundredth of a millimeter.